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For the function f(x) = 3x + 7, find the following:
a) f(2)=
c) f(x) = 8
b) f(-3) =
d) f(x) = 10

For The Function Fx 3x 7 Find The Following A F2 C Fx 8 B F3 D Fx 10 class=

Sagot :

Answer:

a) 13

b) 1/3

c) -2

d) 1

Step-by-step explanation:

This is quite simple if you look at it from a different perspective. Imagine that when it says "f(2)" That you are plugging the number 2 in for every x on the right side of the equation:

For example:

f(x) = 3x + 7

f(2) = 3(2) + 7

f(2) = 6 + 7

f(2) = 13

________

f(-3) = 3x + 7

f(-3) = 3(-3) + 7

f(-3) = -9 + 7

f(-3) = 7 - 9 (This is just for those that hate negative values. You can rearrange the values as long as their sign is the same when you do move them. Ex: -14 + 6 - 4 + 9 == 9 + 6 - 14 - 4. I hope that makes sense.

f(-3) = -2

The other way is quite simple as well, if you look at it from a different perspective. Imagine that when it says "f(x) = 8" that you are changing the f(x) to the number 8:

For example:

f(x) = 8

f(x) = 3x + 7

8 = 3x + 7

8 - 7 = 3x

1 = 3x

x = 1/3

f(x)= 10

f(x) = 3x + 7

10 = 3x + 7

10 - 7 = 3x

3 = 3x

3/3 = x

1 = x

I hope this helps!

Sidharth999
Answer:

a) 13
b) 1/3
c) -2
d) 1

Step-by-Step Explanation:

=> f(x) = 3x + 7

a) f(2)

Substitute the Value of ‘x’ :-

= 3x + 7
= 3(2) + 7
= 6 + 7
=> 13

Hence, f(2) = 13

b) f(x) = 8

Equate the Function to 8 :-

3x + 7 = 8
3x = 8 - 7
3x = 1
=> x = 1/3

Hence, x = 1/3

c) f(-3)

Substitute the Value of ‘x’ :-

= 3x + 7
= 3(-3) + 7
= -9 + 7
=> -2

Hence, f(-3) = -2

d) f(x) = 10

Equate the Function to 10 :-

3x + 7 = 10
3x = 10 - 7
3x = 3
=> x = 3/3 = 1

Hence, x = 1
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